Coherent systems of genus 0 II: Existence results for k ≥ 3

نویسنده

P. E. NEWSTEAD

چکیده

In this paper we continue the investigation of coherent systems of type (n, d, k) on the projective line which are stable with respect to some value of a parameter α. We work mainly with k < n and obtain existence results for arbitrary k in certain cases, together with complete results for k = 3. Our methods involve the use of the “flips” which occur at critical values of the parameter.

متن کامل

منابع مشابه

Generalized Non-deterministic Matrices and (n, k)-ary Quantifiers

An (n, k)-ary quantifier is a generalized logical connective, binding k variables and connecting n formulas. Canonical Gentzen-type systems with (n, k)-ary quantifiers are systems which in addition to the standard axioms and structural rules have only logical rules in which exactly one occurrence of an (n, k)-ary quantifier is introduced. The semantics of such systems for the case of k ∈ {0, 1}...

متن کامل

On the Geometry of Moduli Spaces of Coherent Systems on Algebraic Curves

Let C be an algebraic curve of genus g ≥ 2. A coherent system on C consists of a pair (E, V ), where E is an algebraic vector bundle over C of rank n and degree d and V is a subspace of dimension k of the space of sections of E. The stability of the coherent system depends on a parameter α. We study the geometry of the moduli space of coherent systems for different values of α when k ≤ n and th...

متن کامل

On the Joint Reliability Importance for k-out-of-n Systems

‎In this paper‎, ‎the concept of joint reliability importance (JRI) of two or groups of components in a coherent system with independent components have been studied‎. ‎The JRI is defined as the rate at which the system reliability improves as the reliabilities‎ ‎of the two or groups of components improve‎. ‎Generally‎, ‎the sign and the value of the JRI represent the type and the‎ ‎degree of i...

متن کامل

Studies on Nickel(II)-Pyridoxamine-Imidazole Containing Mixed Ligand Complex Systems

The stability constants of species present in the systems Ni(II)-pyridoxamine(pym)(A) and Ni(II)-pyridoxamine(pym)(A)-imidazole containing ligands(B) [B = imidazole(him), benzimidazole(bim), histamine(hist) and L-histidine(his)] have been determined pH-metrically using the MINIQUAD computer program. The existence of the species NiAH, NiA and NiA2 was proven for the Ni(II)-pym(A)...

متن کامل